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An untrigintillion or triginti-untillion [1] or hentriacontillion[2] is a large number equal to \(10^{96}\) in short scale, or \(10^{186}\) in long scale.[3]

Approximations Edit

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{96}\)
Arrow notation \(10\uparrow96\)
Steinhaus-Moser Notation 55[3] 56[3]
Copy notation 9[96] 1[97]
Taro's multivariable Ackermann function A(3,315) A(3,316)
Pound-Star Notation #*(2,11,1,3,7,8)*10 #*(7,9,4,3,5,6,4)*8
BEAF {10,96}
Hyper-E notation E96
Bashicu matrix system (0)(0)(0)(0)(0)[1000]
Hyperfactorial array notation 67! 68!
Fast-growing hierarchy \(f_2(310)\) \(f_2(311)\)
Hardy hierarchy \(H_{\omega^2}(310)\) \(H_{\omega^2}(311)\)
Slow-growing hierarchy \(g_{\omega^{\omega9+6}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{186}\)
Arrow notation \(10\uparrow186\)
Steinhaus-Moser Notation 94[3] 95[3]
Copy notation 9[186] 1[187]
Taro's multivariable Ackermann function A(3,614) A(3,615)
Pound-Star Notation #*((126))*9 #*((127))*9
BEAF {10,186}
Hyper-E notation E186
Bashicu matrix system (0)(0)(0)(0)(0)(0)[805] (0)(0)(0)(0)(0)(0)[806]
Hyperfactorial array notation 113! 114!
Fast-growing hierarchy \(f_2(608)\) \(f_2(609)\)
Hardy hierarchy \(H_{\omega^2}(608)\) \(H_{\omega^2}(609)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+\omega8+6}}(10)\)

List of prefixed numbers derived from trigintillionEdit

Name Short scale Long scale
untrigintillion 1096 10186
duotrigintillion 1099 10192
tretrigintillion 10102 10198
quattuortrigintillion 10105 10204
quintrigintillion 10108 10210
sextrigintillion 10111 10216
septentrigintillion 10114 10222
octotrigintillion 10117 10228
novemtrigintillion 10120 10234

Sources Edit

  1. https://sites.google.com/site/largenumbers/home/appendix/a/numbers
  2. https://sites.google.com/site/aarexnumbers/home/ch2/at1i
  3. Untrigintillion at Mega Penny Project

See also Edit

Main article: -illion
1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non
10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · trevigint · quattuorvigint · quinvigint · sexvigint · septenvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
40–49: quadragintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
50–59: quinquagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
80–89: octogintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
100–900: centillion · primo-vigesimo-cent · ducent · trecent · duotrigintatrecent · quadringent · quingent · sescent · septuagintisescent · septingent · octingent · nongent
1000–1024: millillion · dumill · trimill · quadrimill · quinmill · sexmill · septimill · octimill · nonimill · myr · centimill · micr · nan · pic · femt · att · zept · yoct